
\begin{tikzpicture}[scale=1.2]
  \coordinate[label=below:$A$] (A) at (0,0);
  \coordinate[label=below:$B$] (B) at (4,0);
  \coordinate[label=above:$C$] (C) at (3,3);
  \coordinate[label=below:$P$] (P) at ($ (A)!1/3!(B) $);
  \coordinate[label=right:$Q$] (Q) at ($ (B)!1/4!(C) $);
  \coordinate[label=above left:$R$] (R) at ($ (C)!1/5!(A) $);
  \draw (A) -- (B) -- (C) -- cycle
    (P) -- (Q) (Q) -- (R) (R) -- (P);
  \fill[opafill=blue] (P) -- (Q) -- (R) -- cycle;
  \fill[opafill=cyan] (A) -- (B) -- (C) -- cycle;
  \draw[dashed] (C) -- (P);
\end{tikzpicture}
